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Finding the Third Proportional to 713,922.94 and 1,558,067.44

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Solution

The third proportional to 713,922.94 and 1,558,067.44 is: 3,400,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,922.94 : 1,558,067.44 = 1,558,067.44 : x
  2. Step 2: Convert to fraction form
    713,922.94/1,558,067.44 = 1,558,067.44/x
  3. Step 3: Cross multiply
    713,922.94x = 1,558,067.44 × 1,558,067.44
  4. Step 4: Simplify right side
    713,922.94x = 2,427,574,139,797.82
  5. Step 5: Solve for x
    x = 2,427,574,139,797.82/713,922.94
  6. Step 6: Final answer
    x = 3,400,330.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.